Finite-sample distribution of regression quantiles
The finite-sample distributions of the regression quantile and of the extreme regression quantile are derived for a broad class of distributions of the model errors, even for the non-i.i.d case. The distributions are analogous to the corresponding distributions in the location model; this again conf...
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Veröffentlicht in: | Statistics & probability letters 2010-12, Vol.80 (23), p.1940-1946 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | The finite-sample distributions of the regression quantile and of the extreme regression quantile are derived for a broad class of distributions of the model errors, even for the non-i.i.d case. The distributions are analogous to the corresponding distributions in the location model; this again confirms that the regression quantile is a straightforward extension of the sample quantile. As an application, the tail behavior of the regression quantile is studied. |
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ISSN: | 0167-7152 1879-2103 |
DOI: | 10.1016/j.spl.2010.08.023 |